diff --git a/linux/changelog.d/3566.added.md b/linux/changelog.d/3566.added.md
new file mode 100644
index 0000000000..673a5a6f87
--- /dev/null
+++ b/linux/changelog.d/3566.added.md
@@ -0,0 +1 @@
+Widen Column and Narrow Column in the grid cell menu, on Shift+Alt+Right and Shift+Alt+Left.
diff --git a/linux/crates/app/src/application/accelerators.rs b/linux/crates/app/src/application/accelerators.rs
index b194fa618b..619ac096de 100644
--- a/linux/crates/app/src/application/accelerators.rs
+++ b/linux/crates/app/src/application/accelerators.rs
@@ -159,6 +159,10 @@ pub const ACCELERATORS: &[Accelerator] = &[
     component(GridCell, "cell.toggle", &["space"], Listed(DataGrid)),
     component(GridCell, "cell.menu", &["Menu", "<Shift>F10"], Listed(DataGrid)),
     component(GridCell, "cell.set-null", &["<Primary>BackSpace"], Listed(DataGrid)),
+    // GtkTreeView's keys for its focused header. A column view's header
+    // takes no focus, so they act on the focused cell's column.
+    component(GridCell, "cell.widen-column", &["<Shift><Alt>Right"], Listed(DataGrid)),
+    component(GridCell, "cell.narrow-column", &["<Shift><Alt>Left"], Listed(DataGrid)),
     stock("text.activate", &["Return"], Listed(DataGrid)),
     component(CellEditor, "cell-editor.cancel", &["Escape"], Listed(DataGrid)),
     component(CellEditor, "cell-editor.next", &["Tab"], Listed(DataGrid)),
@@ -422,6 +426,8 @@ pub(crate) fn keypad_twins(key: gdk::Key) -> &'static [gdk::Key] {
         gdk::Key::Return => &[gdk::Key::ISO_Enter, gdk::Key::KP_Enter],
         gdk::Key::space => &[gdk::Key::KP_Space],
         gdk::Key::Delete => &[gdk::Key::KP_Delete],
+        gdk::Key::Left => &[gdk::Key::KP_Left],
+        gdk::Key::Right => &[gdk::Key::KP_Right],
         _ => &[],
     }
 }
diff --git a/linux/crates/app/src/ui/grid/column_figures.rs b/linux/crates/app/src/ui/grid/column_figures.rs
index 2449d5b558..4c3725e0b5 100644
--- a/linux/crates/app/src/ui/grid/column_figures.rs
+++ b/linux/crates/app/src/ui/grid/column_figures.rs
@@ -168,7 +168,7 @@ fn widest<'a>(column_type: &ColumnType, values: impl Iterator<Item = &'a Value>)
 
 /// How wide `chars` digits are in tabular figures, which libadwaita's
 /// `numeric` class draws.
-fn digits_width(widget: &impl IsA<gtk::Widget>, chars: u32) -> i32 {
+pub(super) fn digits_width(widget: &impl IsA<gtk::Widget>, chars: u32) -> i32 {
     tabular_width(widget, &"0".repeat(usize::try_from(chars).unwrap_or_default()))
 }
 
diff --git a/linux/crates/app/src/ui/grid/column_resize.rs b/linux/crates/app/src/ui/grid/column_resize.rs
new file mode 100644
index 0000000000..859f980565
--- /dev/null
+++ b/linux/crates/app/src/ui/grid/column_resize.rs
@@ -0,0 +1,221 @@
+use gtk4 as gtk;
+use gtk4::prelude::*;
+
+use super::GridCell;
+use super::column_figures::digits_width;
+use super::grid_menus::shown_column;
+
+#[derive(Debug, Clone, Copy, PartialEq, Eq)]
+pub(super) enum ColumnResize {
+    Wider,
+    Narrower,
+}
+
+/// A step is this many digits of the cell's font, so it stays the same
+/// number of characters when the text is larger.
+const STEP_DIGITS: u32 = 2;
+
+/// Make the column `cell` is in one step wider or narrower, and save the
+/// width as a header drag's is. Expand goes off, as GtkTreeView did for
+/// these keys: an expanding column takes back part of the space a step
+/// frees.
+pub(super) fn resize_column(view: &gtk::ColumnView, cell: &GridCell, change: ColumnResize) {
+    let Some(column) = shown_column(view, cell) else {
+        return;
+    };
+    let column = column.view_column;
+    if !column.is_resizable() {
+        view.error_bell();
+        return;
+    }
+    let Some(width) = current_width(&column, cell) else {
+        return;
+    };
+    let step = digits_width(cell, STEP_DIGITS);
+    // Narrow stops at one step and never widens a column already below
+    // it: a fixed width goes below what the cells need, and the column the
+    // focus is in stays on screen to widen again.
+    let width = match change {
+        ColumnResize::Wider => width.saturating_add(step),
+        ColumnResize::Narrower => width.saturating_sub(step).max(step.min(width)),
+    };
+    column.set_expand(false);
+    column.set_fixed_width(width);
+}
+
+/// The width a step starts from: the one the last step set, which holds
+/// even before the view has laid it out, or else the width on screen,
+/// where a header drag starts too.
+fn current_width(column: &gtk::ColumnViewColumn, cell: &GridCell) -> Option<i32> {
+    match (column.expands(), column.fixed_width()) {
+        (false, fixed) if fixed >= 0 => Some(fixed),
+        _ => column_width(cell),
+    }
+}
+
+/// The width of the column `cell` is in, as the view laid it out. The
+/// column view's cell widget spans the column, and `width()` would give
+/// only its content box, narrower by the theme's padding.
+fn column_width(cell: &GridCell) -> Option<i32> {
+    let cell_widget = cell.parent()?;
+    let bounds = cell_widget.compute_bounds(&cell_widget)?;
+    Some(bounds.width().round() as i32)
+}
+
+#[cfg(test)]
+pub(super) mod tests {
+    use std::time::Duration;
+
+    use gtk4::gdk;
+    use gtk4::prelude::*;
+
+    use super::{ColumnResize, STEP_DIGITS, column_width, resize_column};
+    use crate::test_support::wait_until;
+    use crate::ui::grid::ColumnWidthBinding;
+    use crate::ui::grid::column_figures::digits_width;
+    use crate::ui::grid::test_grid::{Grid, WAIT, two_text_columns, two_text_rows, two_text_values, type_into};
+
+    pub(in crate::ui::grid) fn shown_width(grid: &Grid, column: usize) -> i32 {
+        column_width(&grid.cell_of(1, column)).expect("a drawn cell")
+    }
+
+    pub(in crate::ui::grid) fn step(grid: &Grid) -> i32 {
+        digits_width(&grid.cell_of(1, 1), STEP_DIGITS)
+    }
+
+    /// `Grid::open` waits for the cells, not for the first layout, before
+    /// which no width is the one on screen.
+    pub(in crate::ui::grid) fn laid_out(grid: Grid) -> Grid {
+        wait_until(WAIT, || grid.view.width() > 0).expect("the grid to be laid out");
+        grid
+    }
+
+    #[gtk4::test]
+    fn a_step_wider_starts_from_the_width_on_screen_and_is_saved() {
+        let runtime = crate::test_support::test_runtime();
+        let root = tempfile::tempdir().expect("tempdir");
+        let widths = ColumnWidthBinding {
+            store: crate::persistence::ColumnWidthStore::load(root.path().join("column-widths.json"), &runtime.tasks()),
+            connection_id: uuid::Uuid::new_v4(),
+            schema: None,
+            table: "t".to_owned(),
+        };
+        let grid = laid_out(Grid::open_with_widths(
+            two_text_columns(),
+            two_text_values(),
+            widths.clone(),
+        ));
+        let after = shown_width(&grid, 1) + step(&grid);
+
+        resize_column(&grid.view, &grid.cell_of(1, 1), ColumnResize::Wider);
+
+        assert_eq!(grid.column(1).fixed_width(), after);
+        assert!(
+            !grid.column(1).expands(),
+            "an expanding column takes back part of a step"
+        );
+        assert_eq!(widths.width("name"), Some(after));
+        wait_until(WAIT, || shown_width(&grid, 1) == after).expect("the column to be drawn wider");
+    }
+
+    #[gtk4::test]
+    fn a_step_narrower_shrinks_the_column_on_screen() {
+        let grid = laid_out(two_text_rows());
+        let after = shown_width(&grid, 1) - step(&grid);
+
+        resize_column(&grid.view, &grid.cell_of(1, 1), ColumnResize::Narrower);
+
+        wait_until(WAIT, || shown_width(&grid, 1) == after).expect("the column to be drawn narrower");
+    }
+
+    #[gtk4::test]
+    fn a_column_is_never_narrower_than_a_step() {
+        let grid = two_text_rows();
+        grid.column(1).set_expand(false);
+        grid.column(1).set_fixed_width(step(&grid) + 1);
+
+        resize_column(&grid.view, &grid.cell_of(1, 1), ColumnResize::Narrower);
+        resize_column(&grid.view, &grid.cell_of(1, 1), ColumnResize::Narrower);
+
+        assert_eq!(grid.column(1).fixed_width(), step(&grid));
+    }
+
+    #[gtk4::test]
+    fn narrow_leaves_a_column_already_narrower_than_a_step() {
+        let grid = two_text_rows();
+        let narrow = step(&grid) - 1;
+        grid.column(1).set_expand(false);
+        grid.column(1).set_fixed_width(narrow);
+
+        resize_column(&grid.view, &grid.cell_of(1, 1), ColumnResize::Narrower);
+
+        assert_eq!(grid.column(1).fixed_width(), narrow, "Narrow made the column wider");
+    }
+
+    #[gtk4::test]
+    fn a_column_that_is_not_resizable_keeps_its_width() {
+        let grid = two_text_rows();
+        grid.column(1).set_resizable(false);
+        grid.column(1).set_fixed_width(300);
+
+        resize_column(&grid.view, &grid.cell_of(1, 1), ColumnResize::Wider);
+
+        assert_eq!(grid.column(1).fixed_width(), 300);
+        assert!(grid.column(1).expands());
+    }
+
+    /// Pressed through XTEST, the keys meet the list's own arrow bindings
+    /// and the cell editor before the grid's controller.
+    mod real_keys {
+        use super::*;
+
+        const SHIFT_ALT: gdk::ModifierType = gdk::ModifierType::SHIFT_MASK.union(gdk::ModifierType::ALT_MASK);
+
+        fn focused_grid() -> (Grid, crate::test_support::KeyInjector) {
+            let grid = laid_out(two_text_rows());
+            crate::test_support::KeyInjector::focus_only(&grid.window);
+            wait_until(Duration::from_secs(2), || grid.window.is_active()).expect("the window to take the focus");
+            let keys = crate::test_support::KeyInjector::connect().expect("an X11 display");
+            (grid, keys)
+        }
+
+        #[gtk4::test]
+        fn shift_alt_right_and_left_resize_the_focused_cells_column() {
+            let (grid, keys) = focused_grid();
+            grid.focus(0, 1);
+            let wider = shown_width(&grid, 1) + step(&grid);
+
+            keys.press(gdk::Key::Right, SHIFT_ALT).expect("the key press");
+            wait_until(WAIT, || shown_width(&grid, 1) == wider).expect("Shift+Alt+Right to widen the column");
+            keys.press(gdk::Key::Left, SHIFT_ALT).expect("the key press");
+            keys.press(gdk::Key::Left, SHIFT_ALT).expect("the key press");
+
+            let narrower = wider - 2 * step(&grid);
+            wait_until(WAIT, || shown_width(&grid, 1) == narrower).expect("Shift+Alt+Left to narrow the column");
+            assert_eq!(
+                grid.focused_cell().map(|cell| cell.column()),
+                Some(1),
+                "the keys moved the focus"
+            );
+            assert_eq!(grid.column(0).fixed_width(), -1, "the keys resized another column");
+        }
+
+        #[gtk4::test]
+        fn an_open_editor_keeps_shift_alt_arrows() {
+            let (grid, keys) = focused_grid();
+            let cell = grid.focus(0, 1);
+            let editor = type_into(&cell, "typed");
+            wait_until(Duration::from_secs(2), || editor.has_focus()).expect("the editor to take the focus");
+
+            keys.press(gdk::Key::Right, SHIFT_ALT).expect("the key press");
+            crate::test_support::drain_main_context();
+
+            assert_eq!(
+                grid.column(1).fixed_width(),
+                -1,
+                "the key resized the column being edited"
+            );
+            assert!(cell.is_editing(), "the key ended the edit");
+        }
+    }
+}
diff --git a/linux/crates/app/src/ui/grid/context_menu.rs b/linux/crates/app/src/ui/grid/context_menu.rs
index 57a9688ed3..e0a9634832 100644
--- a/linux/crates/app/src/ui/grid/context_menu.rs
+++ b/linux/crates/app/src/ui/grid/context_menu.rs
@@ -229,6 +229,25 @@ mod tests {
         assert_eq!(widths.width("name"), None);
     }
 
+    #[gtk4::test]
+    fn the_menu_widens_and_narrows_and_reset_lets_the_column_expand_again() {
+        use crate::ui::grid::column_resize::tests::{laid_out, shown_width, step};
+        let grid = laid_out(two_text_rows());
+        let before = shown_width(&grid, 1);
+
+        open_menu(&grid.cell_of(1, 1));
+        choose(&grid, &["cell.widen-column"]);
+        assert_eq!(grid.column(1).fixed_width(), before + step(&grid));
+        open_menu(&grid.cell_of(1, 1));
+        choose(&grid, &["cell.narrow-column"]);
+        assert_eq!(grid.column(1).fixed_width(), before);
+        open_menu(&grid.cell_of(1, 1));
+        choose(&grid, &["cell.reset-width"]);
+
+        assert_eq!(grid.column(1).fixed_width(), -1);
+        assert!(grid.column(1).expands(), "Reset left the column at its natural width");
+    }
+
     fn shown_menu(grid: &Grid) -> Option<gtk::PopoverMenu> {
         descendants(&grid.view)
             .into_iter()
diff --git a/linux/crates/app/src/ui/grid/grid_keyboard.rs b/linux/crates/app/src/ui/grid/grid_keyboard.rs
index f62c3c8844..87a5000208 100644
--- a/linux/crates/app/src/ui/grid/grid_keyboard.rs
+++ b/linux/crates/app/src/ui/grid/grid_keyboard.rs
@@ -4,6 +4,7 @@ use gtk4::{self as gtk, gdk, glib};
 use super::cell_edit::begin_edit;
 use super::cell_focus::focused_cell;
 use super::cell_preset::cell_presets;
+use super::column_resize::{ColumnResize, resize_column};
 use super::context_menu::prepare_menu;
 use super::grid_menus::GridMenus;
 use super::{CellPreset, GridCell, GridMsg, GridSink};
@@ -36,6 +37,14 @@ impl GridKeyboard {
             on_focused_cell(move |widget, cell| show_menu(widget, cell, &menus)),
         );
         add("cell.set-null", on_focused_cell(move |_, cell| set_null(cell, &sink)));
+        add(
+            "cell.widen-column",
+            on_focused_cell(|widget, cell| resize(widget, cell, ColumnResize::Wider)),
+        );
+        add(
+            "cell.narrow-column",
+            on_focused_cell(|widget, cell| resize(widget, cell, ColumnResize::Narrower)),
+        );
         column_view.add_controller(controller);
     }
 }
@@ -89,6 +98,14 @@ fn show_menu(widget: &gtk::Widget, cell: &GridCell, menus: &GridMenus) -> glib::
     glib::Propagation::Stop
 }
 
+fn resize(widget: &gtk::Widget, cell: &GridCell, change: ColumnResize) -> glib::Propagation {
+    let Some(column_view) = widget.downcast_ref::<gtk::ColumnView>() else {
+        return glib::Propagation::Proceed;
+    };
+    resize_column(column_view, cell, change);
+    glib::Propagation::Stop
+}
+
 fn set_null(cell: &GridCell, sink: &GridSink) -> glib::Propagation {
     let (None, Some(row), Some(drawing)) = (cell.lock(), cell.row(), cell.drawing()) else {
         return glib::Propagation::Proceed;
diff --git a/linux/crates/app/src/ui/grid/grid_menus.rs b/linux/crates/app/src/ui/grid/grid_menus.rs
index 3fb2784762..c1aaeaa71a 100644
--- a/linux/crates/app/src/ui/grid/grid_menus.rs
+++ b/linux/crates/app/src/ui/grid/grid_menus.rs
@@ -9,6 +9,7 @@ use tablepro_core::column::ResultColumn;
 use super::cell_edit::begin_edit;
 use super::cell_editor_kind::CellEditorKind;
 use super::cell_preset::cell_presets;
+use super::column_resize::{ColumnResize, resize_column};
 use super::context_menu::{CellContext, MenuTarget};
 use super::grid_columns::ShownColumn;
 use super::row_json_dialog::RowJsonRequest;
@@ -180,6 +181,14 @@ fn build_cell_menu(shape: MenuShape) -> gio::Menu {
         Some("cell.sort-descending"),
     );
     column_section.append(Some(&crate::i18n::gettext("Clear Sort")), Some("cell.clear-sort"));
+    column_section.append_item(&crate::application::menu_item(
+        &crate::i18n::gettext("Widen Column"),
+        "cell.widen-column",
+    ));
+    column_section.append_item(&crate::application::menu_item(
+        &crate::i18n::gettext("Narrow Column"),
+        "cell.narrow-column",
+    ));
     column_section.append(
         Some(&crate::i18n::gettext("Reset Column Width")),
         Some("cell.reset-width"),
@@ -321,8 +330,8 @@ impl CellActionKit {
         entries
     }
 
-    /// Sort by the cell's column, as a header click does, or reset the
-    /// width a header drag set.
+    /// Sort by the cell's column, as a header click does, or change the
+    /// width a header drag sets.
     fn column_entries(&self) -> Vec<CellEntry> {
         let sort = |name: &str, order: gtk::SortType| {
             let view = self.view.clone();
@@ -344,6 +353,14 @@ impl CellActionKit {
                 sink(GridMsg::SortCleared);
             })
         };
+        let resize = |name: &str, change: ColumnResize| {
+            let view = self.view.clone();
+            self.on_target(name, move |cell, _row, _rows| {
+                if let Some(cv) = view.upgrade() {
+                    resize_column(&cv, cell, change);
+                }
+            })
+        };
         let reset_width = {
             let view = self.view.clone();
             let tab = self.tab.clone();
@@ -353,6 +370,7 @@ impl CellActionKit {
                     return;
                 };
                 column.view_column.set_fixed_width(column.default_width.unwrap_or(-1));
+                column.view_column.set_expand(true);
                 if let (Some(widths), Some(info)) = (&tab.column_widths, columns.get(column.index)) {
                     widths.forget(&info.name);
                 }
@@ -362,6 +380,8 @@ impl CellActionKit {
             sort("sort-ascending", gtk::SortType::Ascending),
             sort("sort-descending", gtk::SortType::Descending),
             clear_sort,
+            resize("widen-column", ColumnResize::Wider),
+            resize("narrow-column", ColumnResize::Narrower),
             reset_width,
         ]
     }
@@ -524,7 +544,7 @@ fn install_empty_space_menu(column_view: &gtk::ColumnView) -> gtk::PopoverMenu {
 }
 
 /// The view's column that `cell` sits in.
-fn shown_column(view: &gtk::ColumnView, cell: &GridCell) -> Option<ShownColumn> {
+pub(super) fn shown_column(view: &gtk::ColumnView, cell: &GridCell) -> Option<ShownColumn> {
     cell.columns()?
         .shown(view)
         .into_iter()
diff --git a/linux/crates/app/src/ui/grid/mod.rs b/linux/crates/app/src/ui/grid/mod.rs
index cd039973fe..221e7c4931 100644
--- a/linux/crates/app/src/ui/grid/mod.rs
+++ b/linux/crates/app/src/ui/grid/mod.rs
@@ -11,6 +11,7 @@ mod cell_tooltip;
 mod column_drawing;
 mod column_factory;
 mod column_figures;
+mod column_resize;
 mod column_width_binding;
 mod context_menu;
 mod delete_availability;
diff --git a/linux/data/resources/shortcuts-dialog.ui b/linux/data/resources/shortcuts-dialog.ui
index b87c4350a6..7a8aba7fbb 100644
--- a/linux/data/resources/shortcuts-dialog.ui
+++ b/linux/data/resources/shortcuts-dialog.ui
@@ -216,6 +216,18 @@
             <property name="accelerator">&lt;Primary&gt;BackSpace</property>
           </object>
         </child>
+        <child>
+          <object class="AdwShortcutsItem" id="cell-widen-column">
+            <property name="title" translatable="yes">Widen Column</property>
+            <property name="accelerator">&lt;Shift&gt;&lt;Alt&gt;Right</property>
+          </object>
+        </child>
+        <child>
+          <object class="AdwShortcutsItem" id="cell-narrow-column">
+            <property name="title" translatable="yes">Narrow Column</property>
+            <property name="accelerator">&lt;Shift&gt;&lt;Alt&gt;Left</property>
+          </object>
+        </child>
         <child>
           <object class="AdwShortcutsItem" id="text-activate">
             <property name="title" translatable="yes">Finish Editing</property>
diff --git a/linux/po/POTFILES.in b/linux/po/POTFILES.in
index 243abb11dc..60f9122734 100644
--- a/linux/po/POTFILES.in
+++ b/linux/po/POTFILES.in
@@ -292,6 +292,7 @@ crates/app/src/ui/grid/cell_tooltip.rs
 crates/app/src/ui/grid/column_drawing.rs
 crates/app/src/ui/grid/column_factory.rs
 crates/app/src/ui/grid/column_figures.rs
+crates/app/src/ui/grid/column_resize.rs
 crates/app/src/ui/grid/column_width_binding.rs
 crates/app/src/ui/grid/context_menu.rs
 crates/app/src/ui/grid/delete_availability.rs
diff --git a/linux/po/tablepro.pot b/linux/po/tablepro.pot
index 8dece2d49f..e1156248f7 100644
--- a/linux/po/tablepro.pot
+++ b/linux/po/tablepro.pot
@@ -2735,6 +2735,14 @@ msgstr ""
 msgid "Clear Sort"
 msgstr ""
 
+#: crates/app/src/ui/grid/grid_menus.rs data/resources/shortcuts-dialog.ui
+msgid "Widen Column"
+msgstr ""
+
+#: crates/app/src/ui/grid/grid_menus.rs data/resources/shortcuts-dialog.ui
+msgid "Narrow Column"
+msgstr ""
+
 #: crates/app/src/ui/grid/grid_menus.rs
 msgid "Reset Column Width"
 msgstr ""